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Finding the Fourth Proportional to 458.12, 687.20 and 197.94

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Solution

The fourth proportional to 458.12, 687.20 and 197.94 is: 296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.12 : 687.20 = 197.94 : x
  2. Step 2: Convert to fraction form
    458.12/687.20 = 197.94/x
  3. Step 3: Cross multiply
    458.12x = 687.20 × 197.94
  4. Step 4: Simplify right side
    458.12x = 136,027.07
  5. Step 5: Solve for x
    x = 136,027.07/458.12
  6. Step 6: Final answer
    x = 296.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.